Question

6

b
D
h
14
C
a
B
Use the geometric mean (leg) theorem. What is
value of a?
07√2
O 2√70
O
20√5
O 70√5

Answer 1

Explanation:

`(6)/(h)=\frac{h}[14}\\84=h^(2)\\h=√(84)`

So, by the Pythagorean theorem,

`a^(2)=14^(2)+(√(84))^(2)\\a^(2)=280\\a=\boxed{2√(70)}`